The number 52142
52142 is a composite number with 12 divisors. Its prime factorisation is 2 × × 31. Divisors (12): 1, 2, 29, 31, 58, 62, 841, 899, 1682, 1798, 26071, 52142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52142 is composite. Its prime factorisation is
- 3
The divisors add up to 83616; without 52142 itself that is 31474, so 52142 is deficient (31474 is less than 52142). Euler's totient φ(52142) = 24360 numbers up to 52142 share no factor with it.
- 4
The digits of 52142 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52142 = 2 \times 29^{2} \times 31 \]52142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83616 |
| Euler totient φ(n) | 24360 |
| Square | 2718788164 |
| Cube | 141763052447288 |
| Square root | 228.346228 (= 29√62) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2142 × |
52142 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and forty-two |
| Binary (base 2) | 1100101110101110 |
| Octal (base 8) | 145656 |
| Hexadecimal (base 16) | CBAE |
| Base 3 | 2122112012 |
| As time | 52142 seconds = 14 h 29 min 2 s |
Is 52142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52142 ÷ 2 = 26071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52142 a prime number?
No. 52142 = 2 × × 31, so it is divisible by 2.
What are the factors of 52142?
1, 2, 29, 31, 58, 62, 841, 899, 1682, 1798, 26071, 52142.
What is 52142 in binary?
1100101110101110 (hexadecimal CBAE, octal 145656).
What is the square root of 52142?
About 228.3462, exactly 29√62.
Is 52142 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 52142?
It is a composite number with 12 divisors.